Basic Newton's Rings Numerical Problem

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In the Newton's Rings Experiment, the problem involves determining the order of a dark ring with double the diameter of the 20th dark ring, using the wavelength of 5890 Angstroms and a thin film of air. The relationship between the diameters and the order of the rings is expressed through the equation involving the difference of squares of diameters and the radius of curvature. The original poster struggled with two variables and one equation, seeking assistance to solve the problem. Forum members reminded users to follow guidelines for effective homework help requests and to start new threads for individual questions. The original poster did not return for further clarification or resolution.
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In Newton's Rings Experiment, what will be the order of the dark ring which will have double the diameter of that of the 20th dark ring? Wavelength(lambda = 5890 Angstrom); Radius of curvature is not given. Thin film is made of air, so refractive index is 1. And the light is incident normally (90 degrees)Difference between squares of diameters = 4R(lambda){m - n} m is the order of the higher order ring (the ring we have to find in this case), and n is the order of the ring we know (20). Also, Diameter square/4*Radius of Curvature = order of the ring*wavelength
Tried finding radius of curvature in terms of diameter square and later substituting in first equation, but was left with 2 variables and 1 equation, tried substituting values in first equation but again was left with 2 variables in 1 equation. Is there another way of solving this that i am missing? Help would be really appreciated..
 
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I am getting in fraction
What is the answer actually
 
This is an old thread from 2010, and the Original Poster (sayansh) made just the one post and never returned.

@Sweta : If you would like help with this or a similar problem, please start a new thread of your own. Be sure to use the provided formatting template and show us what you've tried.
 
@gneill actually I tried it but I am not getting the answer
Can u pls solve it??
 
Sweta said:
@gneill actually I tried it but I am not getting the answer
Can u pls solve it??
That's not how things work here. Please read the forum rules (which you agreed to abide by when you joined). Also take a look at:

Guidelines for students and helpers, for tips on how to create effective homework help requests.
 

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